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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E47">Def3</font></span>   defines <a href="ndiff13.html#K3" title="NDIFF13:func.3">CTP</a> <a onclick="hs(this)" href="javascript:()">NDIFF13:def 3 : <br/></a><span> for <font color="Olive" title="b1">S</font>, <font color="Olive" title="b2">E</font>, <font color="Olive" title="b3">F</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <span class="p1"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><span class="p2">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">E</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b3">F</font>)</span>)</span></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span>,<span class="p1">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b1">S</font>,<span class="p2"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><font color="Olive" title="b2">E</font>,<font color="Olive" title="b3">F</font></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ndiff13.html#K3" title="NDIFF13:func.3">CTP</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">E</font>,<font color="Olive" title="b3">F</font>) iff  for <font color="Olive" title="b5">f</font> being   <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">E</font><br/>  for <font color="Olive" title="b6">g</font> being   <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b3">F</font> holds  <font color="Olive">b<sub>4</sub></font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="funct_3.html#K14" title="FUNCT_3:func.14">&lt;:</a><span class="default"><font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font></span><a href="funct_3.html#K14" title="FUNCT_3:func.14">:&gt;</a></span> );<br/></span></div>
